{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# DRKG Entity Embedding Similarity Analysis\n",
    "This nodebook shows how to analyze the trained entity embeddings\n",
    "\n",
    "In this example, we first load the trained entity embeddings and map them back into original entity names. And then apply two methodologies to analyze these embeddings:\n",
    " - Project all the entity embeddings into low dimension space and visualize their distribution.\n",
    " - Use cosine distance to analyze the similarity between each entity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import os\n",
    "import csv"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Loading Entity ID Mapping"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of entities: 97238\n"
     ]
    }
   ],
   "source": [
    "entity2id = {}\n",
    "id2entity = {}\n",
    "with open(\"./train/entities.tsv\", newline='', encoding='utf-8') as csvfile:\n",
    "    reader = csv.DictReader(csvfile, delimiter='\\t', fieldnames=['entity','id'])\n",
    "    for row_val in reader:\n",
    "        id = row_val['id']\n",
    "        entity = row_val['entity']\n",
    "\n",
    "        entity2id[entity] = int(id)\n",
    "        id2entity[int(id)] = entity\n",
    "\n",
    "print(\"Number of entities: {}\".format(len(entity2id)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Loading Entity Embeddings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(97238, 400)\n"
     ]
    }
   ],
   "source": [
    "entity_emb = np.load('./ckpts/TransE_l2_DRKG_0/DRKG_TransE_l2_entity.npy')\n",
    "print(entity_emb.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## General Entity Embedding Clustering\n",
    "Here we use t-SNE to convert entity embeddings into low dimension space and visualize their distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib import cm\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.utils import check_random_state\n",
    "from MulticoreTSNE import MulticoreTSNE as TSNE\n",
    "\n",
    "X_embedded = TSNE(n_components=2, n_jobs=40).fit_transform(entity_emb).T\n",
    "\n",
    "#plt.savefig('entityation.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dataset_id = {}\n",
    "for entity_name, i in entity2id.items():\n",
    "    entity_key = entity_name.split('::')[0]\n",
    "    if dataset_id.get(entity_key, None) is None:\n",
    "        dataset_id[entity_key] = []\n",
    "    dataset_id[entity_key].append(i)\n",
    "\n",
    "p = cm.rainbow(int(255/2 * 1))\n",
    "for key, val in dataset_id.items():\n",
    "    val = np.asarray(val, dtype=np.long)\n",
    "\n",
    "    plt.plot(X_embedded[0][val], X_embedded[1][val], '.', label=key)\n",
    "    plt.legend(bbox_to_anchor=(0, 0, 1.45, 1.0))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calculate entity cosine similarity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics.pairwise import cosine_similarity\n",
    "\n",
    "similarity = cosine_similarity(entity_emb)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot entity cosine similarity distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(9455228644,)\n"
     ]
    }
   ],
   "source": [
    "similarity=similarity.flatten()\n",
    "print(similarity.shape)\n",
    "\n",
    "# cleanup self-compare and dup-compare\n",
    "s = similarity < 0.99\n",
    "s = np.unique(similarity[s])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.xlabel('Cosine similarity')\n",
    "plt.ylabel('Number of entity pairs')\n",
    "plt.hist(s)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[('Molecular Function::GO:0016817',\n",
       "  'Molecular Function::GO:0016818',\n",
       "  0.9998758),\n",
       " ('Biological Process::GO:0045936',\n",
       "  'Biological Process::GO:0010563',\n",
       "  0.9998726),\n",
       " ('Cellular Component::GO:0099512',\n",
       "  'Cellular Component::GO:0099513',\n",
       "  0.99986345),\n",
       " ('Biological Process::GO:0048870',\n",
       "  'Biological Process::GO:0051674',\n",
       "  0.999861),\n",
       " ('Cellular Component::GO:0000323',\n",
       "  'Cellular Component::GO:0005764',\n",
       "  0.99985904),\n",
       " ('Biological Process::GO:0043207',\n",
       "  'Biological Process::GO:0051707',\n",
       "  0.999855),\n",
       " ('Biological Process::GO:0044403',\n",
       "  'Biological Process::GO:0044419',\n",
       "  0.9998515),\n",
       " ('Biological Process::GO:0007272',\n",
       "  'Biological Process::GO:0008366',\n",
       "  0.99984413),\n",
       " ('Biological Process::GO:0006935',\n",
       "  'Biological Process::GO:0042330',\n",
       "  0.9998397),\n",
       " ('Biological Process::GO:0044106',\n",
       "  'Biological Process::GO:0006576',\n",
       "  0.99983937)]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.metrics.pairwise import cosine_similarity\n",
    "\n",
    "similarity = cosine_similarity(entity_emb)\n",
    "idx = np.flip(np.argsort(similarity), axis=1)\n",
    "\n",
    "max_pairs = []\n",
    "for i in range(idx.shape[0]):\n",
    "    j = 1\n",
    "    while (similarity[i][idx[i][j]] > 0.9):\n",
    "        max_pairs.append((id2entity[idx[i][0]], id2entity[idx[i][j]], similarity[i][idx[i][j]]))\n",
    "        j += 1\n",
    "\n",
    "def sort_score(pair):\n",
    "    return pair[2]\n",
    "\n",
    "max_pairs.sort(reverse=True, key=sort_score)\n",
    "sim_pairs = []\n",
    "for i, pair in enumerate(max_pairs):\n",
    "    if i % 2 == 0:\n",
    "        sim_pairs.append(pair)\n",
    "\n",
    "sim_pairs[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
